The formula
How it works
The APR (annual percentage rate) folds a loan’s fees into its interest rate, giving the real yearly cost of borrowing. Because it includes upfront costs, the APR is almost always a little higher than the quoted interest rate — and it is the fairer number for comparing loans.
FAQ
Why is the APR higher than the interest rate?
The interest rate applies to the amount you borrow, but the fees mean you receive less than that while still repaying the full loan. Spreading those fees across the payments raises the effective rate — the APR.
When does APR matter most?
When comparing loans with different fees. A loan with a lower interest rate but high fees can cost more than one with a slightly higher rate and no fees; the APR reveals which is genuinely cheaper.
Does APR include every possible cost?
It includes lender fees and closing costs rolled into this calculation, but some charges — like optional insurance, late fees, or third-party costs not required by the lender — are often excluded. Check your loan disclosure for the exact list.
Does paying off the loan early change the APR?
Yes in practice. APR assumes you keep the loan for its full term, so the fees get spread over every payment; pay it off sooner and those same upfront fees are spread over fewer payments, making the real cost per year higher than the quoted APR.
Is APR the same as the interest rate on a credit card?
For most credit cards, yes — there are usually no upfront fees to fold in, so the advertised APR is simply the annual interest rate. The distinction matters most for loans with origination fees or closing costs, like mortgages.
How does APR work for a variable-rate loan?
This calculator assumes the note rate stays fixed for the whole term. On a variable-rate loan the APR is only an estimate based on the starting rate — the true cost will shift if the rate changes later.
Can I use APR to compare loans with different terms?
Yes — that is exactly what APR is designed for, since it expresses the total cost as a single annualized rate regardless of term length. Just remember a longer term can still mean more total interest paid even at a lower APR.
About the APR calculator
This calculator finds the annual percentage rate of a loan — the true yearly cost once fees and closing costs are included. Lenders quote a headline interest rate, but that number ignores the upfront charges you also pay. The APR rolls those fees into a single rate, so two loans can be compared on equal terms. Because it captures the full cost, the APR is the figure lenders are legally required to disclose in many countries.
How to use it
Enter the loan amount, the total fees and closing costs, the quoted interest rate and the term in years. The calculator returns the APR — the effective rate that accounts for those fees. For example, a $200,000 mortgage at 6% with $4,000 of fees over 30 years has an APR of about 6.18%. The bigger the fees relative to the loan, the more the APR rises above the note rate.
The formula
The APR is the rate that makes the loan balance, and it is found by solving for , where the net proceeds are the loan amount minus fees, is the monthly payment calculated from the quoted rate, and is the number of payments. There is no clean algebraic solution, so the calculator solves it numerically and multiplies the monthly rate by 12 for the annual APR.
Where it is used
APR is central to comparing mortgages, personal loans, car finance and credit cards. Regulators require it precisely so borrowers can see past low teaser rates to the real cost, and comparison sites rank loans by it. Anyone weighing up two offers — one with low fees and a higher rate, another with a low rate but heavy fees — should compare the APRs, not the headline rates, to find the cheaper deal.